Modelling and solvability of a class steady-state metal-forming problems

[摘要] For a class of steady-state metal-forming problems, with rigid-plastic, incompressible, strain-rate dependent material model and with unilateral contact and nonlocal Coulomb’s frictional boundary conditions, a variational inequality formulation is derived and by proving the convergence of a modified secant-modulus method, existence and uniqueness results are obtained. A finite element - modified secant-modulus computational algorithm is developed and applied for solving illustrative problems.

[关键词] rigid-plastic metal-forming;nonlocal frictional unilateral contact;modified secant-modulus method;variational and finite element analysis